log48{\displaystyle log_{4}{\sqrt {8}}}
על פי כלל הלוגרתם ab=x⇔loga(x)=b{\displaystyle a^{b}=x\Leftrightarrow \log _{a}(x)=b}
4x=822x=2322x=32x=34{\displaystyle {\begin{aligned}4^{x}={\sqrt {8}}\\2^{2}x=2^{\frac {3}{2}}\\2x={\frac {3}{2}}\\x={\frac {3}{4}}\end{aligned}}}